
1003STextIntroNumericalMethods
10 Jan 2019  Technique Narratives  Contributor(s): Brian Winkel
We ask students to develop two numerical methods for solving first order differential equations geometrically and to compute numeric solutions and compare them to the analytic solutions for a number of different step sizes.

SCUDEM III 2018  Author Commentary on Problems and Submissions
06 Jan 2019  General Resources  Contributor(s): Kelly Black
The Fall 2018 SIMIODE Challenge Using Differential Equations Modeling (SCUDEM III 2018) featured three problems. Some observations of the work submitted by the student teams is given here. It is assumed that the reader is familiar with the three problems which are available on the SIMIODE website.

Opportunities for Community in Using Modeling to Teach Differential Equations at SIMIODE
03 Jan 2019  Presentations  Contributor(s): Brian Winkel
SIMIODE – Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations (www.simiode.org) is an online and vibrant community of students and teachers interested in using modeling to motive the study of differential equations. SIMIODE, a noprofit...

2015YrogovchenkoModelingAlcoholConsumption  PowerPoint
16 Dec 2018  Potential Scenario Ideas  Contributor(s): Brian Winkel
Article Review and AnnotationRagovchenko, Yuriy. 2015. Dull, dizzy, or dead: Models of Alcohol Consumption in Undergraduate Teaching. Presented in Brno NORWAY. 7 December 201. Power Point Presentation.This PowerPoint presentation has lots of basic data on laws, levels of alcohol, and...

3009TBallDropInWater
16 Dec 2018  Modeling Scenarios  Contributor(s): Brian Winkel
We conduct an analysis of a falling ball in liquid to determine its terminal velocity and to ascertain just what radius ball for a given mass density is necessary to attain a designated terminal velocity.

3009SBallDropInWater
16 Dec 2018  Modeling Scenarios  Contributor(s): Brian Winkel
We conduct an analysis of a falling ball in liquid to determine its terminal velocity and to ascertain just what radius ball for a given mass density is necessary to attain a designated terminal velocity.

1063TThreeHoleColumn
15 Dec 2018  Modeling Scenarios  Contributor(s): Brian Winkel
We consider a column of water with three holes or spigots through which water can exit and ask students to model the height of the column of water over time.

1063SThreeHoleColumn
15 Dec 2018  Modeling Scenarios  Contributor(s): Brian Winkel
We consider a column of water with three holes or spigots through which water can exit and ask students to model the height of the column of water over time.

2008WillHansenExamplesOfODEsInPhysics
09 Dec 2018  Potential Scenario Ideas  Contributor(s): Brian Winkel
WittHansen, Ole. 2008. Examples of the Differential equations of Physics. www.olewitthansen.dk. Contents1. The dependence of pressure with altitude.............................................................................. 12. Radioaktive chains of decay...

2013GonzalezParraArenas A Mathematical Model for Social Security Systems with Dynamical Systems
09 Dec 2018  Potential Scenario Ideas  Contributor(s): Brian Winkel
GonzalezParra, Gilberto and Abraham J. Arenas. 2014. Ingeniería y Ciencia. 10(19): 111.Abstract: In this paper it is proposed a mathematical approach based on dynamic systems to study the effect of the increase in the Social Security normal retirement age on the worker and on the...

2017Bonin EtAl  Math Modeling Based on ODE for Vaccinology
09 Dec 2018  Potential Scenario Ideas  Contributor(s): Brian Winkel
Bonin, C.R.B. Et al. 2017. Mathematical modeling based on ordinary differential equations: A promising approach to vaccinology. Human Vaccines and Immunotherapy. 13(2): 484–489.Abtract: New contributions that aim to accelerate the development or to improve the efficacy and safety of...

2004PhoebusReilyTheParachuteProblem
09 Dec 2018  Potential Scenario Ideas  Contributor(s): Brian Winkel
Phoebus, Ronald and Cole Reilly. 2004, Differential Equations and the Parachute Problem. Presentation 10 May 2004. https://mse.redwoods.edu/darnold/math55/DEproj/sp04/coleron/presentation.pdf .Abstract: The parachute problem is a classical first semester differential equations problem...

1987RodinMurthyComparativeEvalOfMathModelingBooks
09 Dec 2018  Potential Scenario Ideas  Contributor(s): Brian Winkel
Murthy, D. N. P. and E. Y. Rodin. 1987. A comparative evaluation of books on mathematical modeling. Mathematical Modeling. 9(1): 1728.Abstract: In this paper we present a comparative evaluation of books on mathematical modelling that have appeared in the last 1.5 years.While dated this gives...

1986CookeLinear And Logistic Harvesting ModelsMath Modeling Journal
09 Dec 2018  Potential Scenario Ideas  Contributor(s): Brian Winkel
Cook, K. L. and M. Witten. 1986. Onedimensional linear and logistic harvesting models. Mathematical Modeling. 7: 301340.Abstract: Some of the results in the literature on simple onedimensional, density dependent, discrete and continuous modelswith and without harvestingare reviewed. Both...

SCUDEM III 2018 Faculty Development Materials
29 Nov 2018  General Resources  Contributor(s): Brian Winkel
Here are the SCUDEM III 2018 Faculty Development Materials. These materials are in the Supporting Docs Tab.There are several files:SCUDEM III 2018 Fac Dev Workshop SLIDES0_Fall2018 SCUDEM III 2018 Prof Dev INSTRUCTIONS PreWorkshop1_Fall2018 SCUDEM III 2018 Prof Dev...

SCUDEM III 2018 MathBowl Questions, Hints, Answers, and Score Sheets
29 Nov 2018  General Resources  Contributor(s): Brian Winkel
Here are the SCUDEM III 2018 MathBowl questions, hints, answers, and score sheets. These materials are in the Supporting Docs Tab.We include PowerPoint and PDF files. We also include instructions and hints to use.There are three files:(1) SCUDEM III 2018 Math Bowl ...

SCUDEM III 2018 PROBLEMS AND SUPPLEMENTAL MATERIALS
23 Nov 2018  General Resources  Contributor(s): Brian Winkel
SCUDEM III 2018 PROBLEMS AND SUPPLEMENTAL MATERIALSIn addition to Problems and Team Submissions (see Supplemental Docs Tab) you can see MathBowl materials and Faculty Development Workshop materials used on Challenge Saturday, 27 October 2018. Just click on the title you want above. Faculty...

3043SBallisticModelingSpongeDart
20 Nov 2018  Modeling Scenarios  Contributor(s): Jean Marie Linhart, Peter Howard
The goal of this project is for students to develop, analyze, and compare three different models for the flight of a sponge dart moving under the influences of gravity and air resistance. The first two models are based respectively on the common simplifying assumptions of no air resistance and...

3043TBallisticModelingSpongeDart
20 Nov 2018  Modeling Scenarios  Contributor(s): Jean Marie Linhart, Peter Howard
The goal of this project is for students to develop, analyze, and compare three different models for the flight of a sponge dart moving under the influences of gravity and air resistance. The first two models are based respectively on the common simplifying assumptions of no air resistance and...

Secrets of the Mathematical Contest in Modeling
13 Nov 2018  Articles and Publications  Contributor(s): Kelly Cline
Published in 2009, Dr. Kelly Cline, Carroll College, Helena MT USA, discusses his evolving personal strategy for modeling competitions from young student participant to mature faculty coach. Dr. Cline gives many practical hints and "secrets," all based on thoughtful reflection from his...